4476850560 has 960 divisors, whose sum is σ = 20056243680. Its totient is φ = 931627008.

The previous prime is 4476850559. The next prime is 4476850613. The reversal of 4476850560 is 650586744.

4476850560 is a `hidden beast` number, since 4 + 4 + 7 + 6 + 85 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61326684 + ... + 61326756.

Almost surely, 2^4476850560 is an apocalyptic number.

4476850560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4476850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10028121840).

4476850560 is an abundant number, since it is smaller than the sum of its proper divisors (15579393120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4476850560 is a wasteful number, since it uses less digits than its factorization.

4476850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 4476850560 is about 66909.2711064767. The cubic root of 4476850560 is about 1648.1277275559.

The spelling of 4476850560 in words is "four billion, four hundred seventy-six million, eight hundred fifty thousand, five hundred sixty".